This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A130800 #24 Sep 08 2022 08:45:30
%S A130800 2,6,14,20,26,36,50,54,74,90,116,140,146,174,200,204,210,224,230,270,
%T A130800 284,306,330,336,350,354,384,404,410,426,440,476,510,516,554,564,596,
%U A130800 600,624,644,650,704,714,726,740,746,834,846,894,930,944,950,1026,1040
%N A130800 Numbers k such that both 2k+1 and 3k+1 are primes.
%C A130800 Also: k such that A033570(k) is semiprime. All terms are congruent to 0 or 2 modulo 6. - _M. F. Hasler_, Dec 13 2019
%H A130800 Harvey P. Dale, <a href="/A130800/b130800.txt">Table of n, a(n) for n = 1..1000</a>
%F A130800 a(n) = 2*A255607(n). - _M. F. Hasler_, Dec 13 2019
%t A130800 Select[Range[1100],AllTrue[{2,3}#+1,PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* _Harvey P. Dale_, May 17 2016 *)
%o A130800 (Magma) [n: n in [0..500] | IsPrime(2*n+1) and IsPrime(3*n+1)]; // _Vincenzo Librandi_, Nov 23 2010
%o A130800 (PARI) select( is_A130800(n)=isprime(2*n+1)&&isprime(3*n+1), [1..1111]) \\ _M. F. Hasler_, Dec 13 2019
%Y A130800 Intersection of A005097 and A024892. - _M. F. Hasler_, Dec 13 2019
%Y A130800 Cf. A033570; A255584: semiprimes of the form (4*n+1)*(6*n+1).
%K A130800 nonn
%O A130800 1,1
%A A130800 _Max Alekseyev_, Jul 18 2007
%E A130800 More terms from _Vincenzo Librandi_, Mar 26 2010